395441 ÷ 19 
Let's see how many times 19 fits into 395441.

Moving on to step 1:
19 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 19

On to step 2:
If we divide 39 by 19, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 38 from 39 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 19

Advancing to step 3:
If we divide 15 by 19, we get 0 and a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 20.0
If we subtract 0 from 15, we get 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 19

Going ahead to step 4:
19 goes into 154 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 208.0
The remainder is 2 after subtracting 152 from 154.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 19

Going ahead to step 5:
When dividing 24 by 19, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 2081.0
Subtracting 19 from 24 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 19

Moving on to step 6:
The number 19 fits into 51 2 times, leaving a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 20812.0
Subtract 38 from 51 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 20812.6
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
If we divide 160 by 19, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 20812.68
Deduct 152 from 160 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 20812.684
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
If we divide 40 by 19, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 20812.6842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
19 goes into 20 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 20812.68421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
When dividing 10 by 19, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 20812.68421
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
When dividing 100 by 19, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 20812.6842105
If we take 95 away from 100, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 14:
When dividing 50 by 19, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 20812.68421052
Deduct 38 from 50 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 20812.68421052 with a balance of 1.2e-08.